DevontaeC122154 DevontaeC122154
  • 28-10-2022
  • Mathematics
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Find the sum of the interior angle measuresof each polygon. Write equation and solveshowing ALL the work.16-gon

Find the sum of the interior angle measuresof each polygon Write equation and solveshowing ALL the work16gon class=

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AkilahR360552 AkilahR360552
  • 28-10-2022

We can find the sum of the interior angles of a polygon with the following formula:

[tex](n-2)\cdot180[/tex]

where n is the number of sides.

Then, for a 16-gon, we have n=16 and the sum of interior angles is:

[tex](16-2)\cdot180=14\cdot180=2520\degree[/tex]

Answer: the sum of the interior angles of a 16-gon is 2520 degrees.

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